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Finding the Third Proportional to 176,272 and 387,536

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Solution

The third proportional to 176,272 and 387,536 is: 852,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,272 : 387,536 = 387,536 : x
  2. Step 2: Convert to fraction form
    176,272/387,536 = 387,536/x
  3. Step 3: Cross multiply
    176,272x = 387,536 × 387,536
  4. Step 4: Simplify right side
    176,272x = 150,184,151,296
  5. Step 5: Solve for x
    x = 150,184,151,296/176,272
  6. Step 6: Final answer
    x = 852,002.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.